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Recently, the principle of nonviolation of information causality [Nature 461, 1101 (2009)] has been proposed as
one of the foundational properties of nature.We explore the Hardy?s nonlocality theorem for two-qubit systems, in
the context of generalized probability theory, restricted by the principle of nonviolation of information causality.
Applying a sufficient condition for information causality violation, we derive an upper bound on the maximum
success probability of Hardy?s nonlocality argument. We find that the bound achieved here is higher than that
allowed by quantum mechanics but still much less than what the no-signaling condition permits. We also study
the Cabello type nonlocality argument (a generalization of Hardy?s argument) in this context.
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